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Finding the Fourth Proportional to 194,604.70, 291,919.37 and 82,270.13

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Solution

The fourth proportional to 194,604.70, 291,919.37 and 82,270.13 is: 123,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,604.70 : 291,919.37 = 82,270.13 : x
  2. Step 2: Convert to fraction form
    194,604.70/291,919.37 = 82,270.13/x
  3. Step 3: Cross multiply
    194,604.70x = 291,919.37 × 82,270.13
  4. Step 4: Simplify right side
    194,604.70x = 24,016,244,521.90
  5. Step 5: Solve for x
    x = 24,016,244,521.90/194,604.70
  6. Step 6: Final answer
    x = 123,410.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.